#3780 ⟨a, b | ababbaabab=a⟩

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Contents

  1. Properties
  2. Rewriting system

Properties

Rewriting system

Format:
Word:
Enter a word above to compute its normal form. Tips:
  • Lowercase letters stand for generators.
  • Spaces are ignored.
  • Numbers repeat the previous letter, e.g. b90.
Strategy:
Result: 1 
1
#RuleProof
1. a3bab ⇒ a2b2a2 [4]
2. (aba)2b ⇒ abab2a2 [2]
3. a2b2a(ab)2 ⇒ abab2a2ba [3]
4. abab2a(ab)2 ⇒ a [1]
# ab:ababbaabab=a ba - -
aaabab=aabbaa
abaabab=ababbaa
aabbaabab=ababbaaba
ababbaabab=a